Solve 3left(1-x/4right)=-5/2

$$3 \left( 1- \frac{ x }{ 4 } \right) = - \frac{ 5 }{ 2 }$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$1-\frac{x}{4}=\frac{-\frac{5}{2}}{3}$$

Express \frac{-\frac{5}{2}}{3} as a single fraction.

$$1-\frac{x}{4}=\frac{-5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$1-\frac{x}{4}=\frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$1-\frac{x}{4}=-\frac{5}{6}$$

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$12-3x=-10$$

Subtract 12 from both sides.

$$-3x=-10-12$$

Subtract 12 from -10 to get -22.

$$-3x=-22$$

Divide both sides by -3.

$$x=\frac{-22}{-3}$$

Fraction \frac{-22}{-3} can be simplified to \frac{22}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{3}$$